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Calculus/Difference Quotient Calc

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Expert: - 2/16/2009


Question
Find and Simplify your answer.
F(x)=x^3 +3x, F(x+h)-F(x)/h, H=/0

Answer
Put x+h into the fuction and put x into the function.
Subtract the second from the first.
Divide the entire thing by h.

The function (x+h)^3 - (x+h) = x^3 +3x^2h +3xh^2 + h^3 - x - h.
Subtract of x^3x.

Note that the rest of the terms only have an h in them, so reduce
the power of h in each term by 1.  Where you have h by itself to
no power, just take out the h.

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